Page 32 - Algebra 1

L E4S S O N Using Order of Operations
Warm Up
1. Vocabulary A(n) __________ can be used to show repeated multiplication. (3)
Simplify.
2. 28.75 + 13.5
(SB 2)
4. _2 · _9 (SB 3) 3 16
3. 89.6 - 7.4 (SB 2)
5. 4_1 ÷ 3_1 (SB 3) 5 2
New Concepts
To simplify an expression means to perform all indicated operations. Simplifying an expression could produce multiple answers without rules concerning the order in which operations are performed. Consider the example below.
Method 1: Method2:
To avoid confusion, mathematicians have agreed to use the order of operations. The order of operations is a set of rules for simplifying expressions. Method 1 followed the order of operations.
Simplifying Expressions with Parentheses
Simplify. Justify each step.
(10 · 3) + 7 · (5 + 4)
SOLUTION
Write the expression. Then use the order of operations to simplify.
2 · (3) = 2 · 9 = 18 = 3 _2__
666
_2 _2 _2 _
2·(3) = (2·3) = 6 = 36 =6 6666
Order of Operations
1. Work inside grouping symbols.
2. Simplify powers and roots.
3. Multiply and divide from left to right.
4. Add and subtract from left to right.
Example
1
Online Connection www.SaxonMathResources.com
(10 · 3) + 7 · (5 + 4) = 30 + 7 · 9
= 30 + 63
= 93
Simplify inside the parentheses. Multiply.
Add.
Lesson 4 17